Filter Made of Metamaterials

ABSTRACT

There is provided a filter for filtering electromagnetic radiation, wherein said filter is arranged to transmit electromagnetic radiation of a first predetermined wavelength and to block transmission of electromagnetic radiation of a second, different predetermined wavelength; said filter comprising a first metamaterial. Optionally, the metamaterial may be formed of a plurality of material elements wherein each material element is at least one-dimensional and the size of the material element along each dimension is no greater than the size of the second predetermined wavelength. The filter comprises a second metamaterial arranged to provide second filtering of electromagnetic radiation.

The invention relates to filter for filtering electromagnetic (EM)radiation and a method for designing and making the same. In particularit relates to a barrier that can filter one or more specific narrowoptical frequencies and can be optically transparent to otherfrequencies of electromagnetic radiation.

BACKGROUND

Electromagnetic radiation filters are well known and have many practicaluses. One such use is in filtering laser light in order to protectindividuals from its effects. As is well known, when the eye is exposedto laser light, significant damage can occur. This is mainly due to theabsorption of incoming photons and the heating of the living eye tissue.The potential damage depends on the intensity of the laser, that is theenergy per second from the laser impacting on a given surface area, andthe duration of the exposure. Two known types of laser are continuouswave (CW) and pulsed lasers. CW lasers are classified based on theirpower output whereas pulsed lasers are classified based on their totalenergy per pulse.

Protection from laser light has become increasingly important ineveryday practical situations due to the proliferation of cheaper andmore powerful laser systems. Certain laser products have in recent yearsbecome cheap to manufacture and thus commercially readily available.These products include so-called “laser pens” or “laser light pointers”.In the UK there are regulations in place such that it is only allowableto manufacture and sell laser light pointers having a power of up to 5milliWatts (mW). However these regulations are not consistent worldwideand it is possible in some countries to purchase cheaply a 1 Watt laserlight pointer which has an effective area of up to four times theeffective area of the most powerful laser light pointer available in theUK, and which can cause cornea damage to the human eye from as much asthree miles away. Unfortunately there has been an increase in incidentsof laser light pointers being deliberately pointed at vehicle driversand also at aircraft whilst in flight. These incidents have potentiallyextremely serious safety consequences. Although laser light pointers donot have the ability to damage or destroy most vehicles or aircraft,they can and often do interfere with the ability of the driver, pilot orcrew to maintain sufficient visual contact with the road, flight path orrunway.

The potential safety consequences are particularly grave when a laserlight pointer is directed at an aircraft during take off or landing.

Aircraft need to be at a relatively low altitude in order to be affectedby the use of laser pointers on the ground. For this reason aircraft aremost vulnerable during the approach phase of landing. During this phasean aircraft will typically be flying at around 6,000 feet and be linedup with the runway descending at a relatively steady rate of around 700feet per minute. This makes the aircraft an object easy to aim at with alaser pointer. At the same time the crew onboard the aircraft will beincreasingly focused on external cues outside the aircraft which allowthe crew to control the speed, rate of descend and heading of theaircraft towards a successful landing on the runway. This makes the crewmore prone to being affected by a laser beam pointer and potentiallyeven to receive serious cyc injuries. This is certainly the case whenthe crew is conducting a “visual landing” or a “non-precision landing”.During both such landing phases the flight crew navigate using primarilyexternal cues to complete the approach and landing.

If a laser light is pointed at the crew at any stage of the approachphase the crew might be injured, lose momentarily sight of the runway ordecide that a safe interference-free landing is not possible. This maylead to a “go-around” or “abort” in order to avoid an event which maysignificantly endanger the aircraft and the safety of those onboard. Thego-around and its related procedures may lead to increased work load forflight crew and Air Traffic Control, which in turn may introduce otherthreats to safety. In busy airports such as those found in Europe, ago-around procedure might result in a high workload and relativelyhazardous situation.

Pointing portable lasers at aircraft can also have an impact on theefficiency and cost of airline operations. A go-around involves theaircraft spooling the engines to a thrust setting of a take-off whileclimbing and then returning to the initial approach point to attemptanother landing, all of which may last anywhere between 10 and 20minutes. During such a manoeuvre, a 747-400 aircraft might burn up to 4tonnes of additional fuel which at current prices may amount to around6,000 USD. Other factors such as missed passenger connections andaircraft utilisation may make a go-around even more expensive.

There are many safety regulations and systems already in place foraircraft. Unfortunately some systems and procedures introduced toimprove safety may actually increase the potential severity of laserpointers being aimed at aircraft. For example the use of Head-Up-Displaysystems (HUD), an expensive technology once used only in militaryaircraft, is finding its way increasingly into everyday commercialaircraft operations. The system is comprised of a glass in front of thepilot on which flight parameters and the position of the aircraft inrelation to the runway are displayed. This system allows the flight crewto observe external cues as well as the aircraft attitude and speed(among other parameters) without having to look down to the instrumentpanel. This results in flight crew looking towards and out of thewindshield throughout the approach and landing phase. Thus any laserpoint device aimed at the aircraft windshield will in all probabilityresult in adverse effects to the crew.

There are numerous known solutions for filtering out laser light toprotect user safety. For example Laser Protection Systems (LPS) areroutinely used in laboratories around the world. They typically come inthe form of goggles, eye-shields or contact lenses which are worn by theperson susceptible to the laser radiation. They also come in the form ofwindows, which are placed around the laser location to protect thesurroundings. These filters are usually built using polymers for lowintensity lasers or glass for high heat densities.

There are several disadvantages associated with currently available LPS.They usually operate over a single band of light, providing protectionfrom a single type of laser only. Additionally they are not sufficientlynarrowband, thus they block more light than necessary and so distort theuser's overall vision. LPSs are also usually tinted, artificiallycolouring the field of view. They therefore cannot always be used—forexample, it is unsafe for an airline pilot to wear red goggles whileflying an aircraft at night. And glass-based filters are heavy andcannot be comfortably worn by people.

No known system can provide filtration of electromagnetic radiationwhich is sufficiently accurate and focused for many practical purposeswithout distorting the propagation of electromagnetic radiation at otherwavelengths that the user does not wish to filter. Furthermore manyexisting filters are impractical and/or too expensive for widespreaduse.

Aspects of an invention are set out in the appended independent claims.

There is provided a filter for selectively filtering electromagneticradiation. The filter comprises a first metamaterial and a secondmetamaterial. Each metamaterial comprises a plurality of structuralfeatures having a size less than a predetermined wavelength.Electromagnetic radiation at the predetermined wavelength is blocked bythe metamaterial owing to the carefully chosen structural features. Thestructural feature may be a thickness of a dielectric layer. Themetamaterial may comprise a plurality of material elements and thestructural feature may be the size of the material elements. Thematerial elements may comprise any of: a metallic shape, a photoniccrystal, a polymer material element or a liquid crystal. Themetamaterials may comprise a nanostructured material, made fromnanoscale material elements. The filter may provide optical transparencyat all frequencies except at the selected frequency or frequencies whichit is configured to block. Therefore it does not distort user visionexcept at the frequencies that have been deliberately blocked, forexample particular laser frequencies that could cause harm to the user.The filter may block a single narrow frequency band or it may block aplurality of distinct narrow frequency bands. By combiningmetamaterials. the filter may block a selected frequency or selectedfrequencies of radiation over a range of angles.

FIGURES

Embodiments and aspects will now be described with respect to thefigures of which:

FIG. 1 shows a filter including a metamaterial comprising an array ofnanoscale unit cells, including a magnified view of said array and afurther magnified view of one unit cell;

FIG. 2a shows a unit cell for a metamaterial filter, which comprises aplasmonic spherical nanoparticle surrounded by a homogenous dielectrichost medium;

FIG. 2b shows an alternative nanoparticle for the unit cell shown inFIG. 2a , the nanoparticle having a cubic shape;

FIG. 2c shows another alternative nanoparticle shape, comprising a helixor swirl;

FIG. 2d shows another alternative nanoparticle shape, comprising anannulus;

FIG. 2e shows another alternative nanoparticle shape, comprising asphere with first and second conical projections at the top and bottomand four semi-annuli around the sides;

FIG. 2f shows another alternative nanoparticle shape comprising athree-dimensional cross or X shape;

FIG. 2g shows another alternative nanoparticle shape having a triangularcross section;

FIG. 3 shows a simulation of the electric field distribution on asurface of the nanoparticle in FIG. 2;

FIG. 4a shows the relationship between the imaginary part of themacroscopic permittivity of the nanoparticle of FIG. 2 and thebackground permittivity of the host medium;

FIG. 4b shows the effect of the diameter (D) of the sphericalnanoparticle on the strength of absorption of electromagnetic radiationat a particular frequency;

FIG. 5a shows a metamaterial filter comprising layers of sphericalnanoparticles wherein the two dimensional period of the nanoparticles is30 nm;

FIG. 5b shows a filter as shown in FIG. 5a but with a two dimensionalperiod of 45 nm;

FIG. 5c shows a side view of the filter of FIG. 5 a;

FIG. 5d shows a side view of the filter of FIG. 5 b.

FIG. 6 shows Bragg reflection geometry for a Bragg Mirror filter havinglayers of first and second materials with first and second respectiverefractive indices;

FIG. 7 shows the relationship between the refractive index n₂ of thesecond material in the Bragg Mirror of FIG. 6 to the wavelength ofelectromagnetic radiation which is reflected by the Bragg Mirror;

FIG. 8 shows a plurality of cholesteric liquid crystals and theorientation of their director field;

FIG. 9a shows a cholesteric crystal being rotated 180 degrees along apropagation axis;

FIG. 9b shows the crystal of FIG. 9a with incident light comprisingthree different electromagnetic frequencies incident on the crystal inthe propagation direction; and

FIG. 10 shows reflectivity levels achieved by a filter having first andsecond layers of cholesteric liquid crystals which reflect first andsecond respective frequencies of electromagnetic radiation.

OVERVIEW

In overview a filter is provided for filtering out electromagneticradiation at a particular desired wavelength or range of wavelengths.

A filter is provided that may be, for example, be optically transparentto all incoming light in the visible electromagnetic spectrum with theexception of one or more predetermined narrow bands of wavelengths. Forexample the optical filter may be non-transparent only to red light, orto green light, or to red and green light and so on. The wavelength orwavelengths to which the filter is optically non-transparent can besimultaneously attenuated inside the filter by means of a carefullydesigned metamaterials such as a nanostructured metamaterial.Alternatively, the filtering can be implemented using a Bragg Mirror orhelices formed from liquid crystals.

Preferably the optical filter is provided in the form of a thin film.The thin film can be adhesive so as to be applied on any opticallytransparent surface such as windscreen, window, glass pane or opticallens. A unique arrangement of structural features is comprised withinthe thin film structure, thus protecting a person or persons locatedbehind the filter from concentrated light sources such as a laseroperating at the predetermined wavelengths. Thus the filter can protectusers from laser radiation at chosen predetermined wavelengths in apassive manner.

DETAILED DESCRIPTION

Laser safety zones have been defined for an aircraft by the FederalAviation Authority (FAA) in the USA, which imposes the requirements ofmaximum allowed laser intensity at different distances from an airport.For about 7 NM from the runways and for up to 2000 feet high the zoneshould be laser-free, i.e. having a maximum intensity of 50 nW/cm̂2. Thecritical flight zone extends up to 8000′, with an allowed intensity of 5μW/cm̂2. Beyond that zone there is the sensitive flight zone, with amaximum intensity of 100 μW/cm̂2. However these guidelines are onlyfollowed by laser users voluntarily when the FAA is notified aboutnearby laser operations. These guidelines are not always adhered to and,as discussed in the background section above, increasingly suchguidelines are deliberately ignored. The filter described herein can beused to protect individuals from damage incurred due to lasers when suchguidelines are ignored.

Particular filter embodiments are described in detail below. In generalterms, the solution provided herein comprises a filter which can beprovided in the form of a relatively thin film with a typical thicknessranging from a few nanometres to a few millimetres, which can be appliedto the inside or outside of an optically transparent surface such as awindscreen at the front of an aircraft. The film can be applied to thewindscreen using an adhesive. The film itself may comprise an adhesivelayer so as to be self adhesive or any appropriate separate adhesive maybe used. The film is designed so as to be durable and easy to both cleanand maintain. Furthermore it is able to maintain its mechanical andoptical properties in different environmental conditions such aschanging temperature and changing levels of heat and solar radiation.

Although it is very thin, the film can comprise layers of differentmaterials or periodic repetitions of two or more materials. Therefore itcan be designed for multiband performance. The layers and/or thecomponents within the film can be selected so as to provide userprotection from laser light at one or more narrow bands of wavelength.It can protect the user from lasers having a power of anything fromaround 5 milliWatts up to 2 Watts (class IV lasers) and has thecapability to protect from higher-power lasers, once they are developed.For all other visible wavelengths of light, except those which have beenselected for filtration by the film, the film is optically transparentat all polarisations and angles of incidence. Therefore it will notdistort the user's vision of “normal” light when it is being used tofilter out particular wavelengths of laser light.

The filter is a passive system that does not require an external powersource or an active control system in order to operate. Once the filterhas been installed, for example by being adhered to a windscreen, it cancontinue to operate over a long period of time without any upkeep beingneeded or operating costs being incurred.

A variety of different materials can be used to manufacture the filter,as discussed in more detail below. The filter can be manufactured usingsome or all of: liquid crystal materials, polymers, nanocomposite ornanostructured metamaterials or photonic crystal components. It can bemanufactured from 100% recyclable materials and therefore it is anenvironmentally friendly solution.

According to an embodiment the filter is provided in the form of a film.The film may comprises metamaterial elements such as metamaterialmetallic nanoparticles.

Metamaterials are artificially created materials that can achieveelectromagnetic properties that do not occur naturally, such as negativeindex of refraction or electromagnetic cloaking. While the theoreticalproperties of metamaterials were first described in the 1960s, in thepast 10-15 years there have been significant developments in the design,engineering and fabrication of such materials.

One example of a metamaterial comprises a multitude of unit cells, i.e.multiple individual elements (sometimes refer to as “meta-atoms”) thateach has a size much smaller than the wavelength of operation. Theseunit cells are microscopically built from conventional materials such asmetals and dielectrics. However, their exact shape, geometry, size,orientation and arrangement can macroscopically affect light in anunconventional manner, such as creating resonances or unusual values forthe macroscopic permittivity and permeability. These individual elementsor meta-atoms may be considered as “structural elements” or “materialelements” having a size no greater than a predetermined wavelength.

Some examples of available metamaterials are negative indexmetamaterials, chiral metamaterials, plasmonic metamaterials, photonicmetamaterials, etc. Due to their sub-wavelength features, metamaterialsthat operate at microwave frequencies have a typical unit cell size of afew millimetres, while metamaterials operating at the visible part ofthe spectrum have a typical unit cell size of a few nanometres.Metamaterials are also inherently resonant, i.e. they can stronglyabsorb light at certain narrow range of frequencies.

For conventional materials, the electromagnetic parameters such asmagnetic permeability and electric permittivity arise from the responseof the atoms or molecules that make up the material to anelectromagnetic wave being passed therethrough. In the case ofMetamaterials, these electromagnetic properties are not determined at anatomic or molecular level. Instead these properties are determined bythe selection and configuration of a sub-wavelength structural elementssuch as a collection of smaller objects that make up the Metamaterial.Although such a collection of structural elements and their structure donot “look” at an atomic level like a conventional material, aMetamaterial can nonetheless be designed so that an electromagnetic wavewill pass therethrough as if it were passing through a conventionalmaterial. Furthermore, because the properties of the Metamaterial can bedetermined from the composition and structure of such small (nanoscale)objects, the electromagnetic properties of the Metamaterial such aspermittivity and permeability can be accurately tuned on a very smallscale.

Another form of a metamaterial comprises multiple dielectric layerswherein the thickness of the layers is no greater than a wavelength ofinterested. The layers may be formed of different materials havingdifferent refractive indices, for example. In this type of metamaterial,the thickness of the layers is sub-wavelength. That is, thesub-wavelength structural feature determining the electromagneticproperties of the multilayer structure is the thickness of the layers.An example of this type of metamaterial is a Bragg structure such as aBragg reflector or Bragg mirror. While each layer is formed from aconventional material, the exact refractive index values and theirthicknesses can be tuned to obtain light filtering in the same way as ametamaterial structure comprising sub-wavelength metaelements ormeta-atoms. i.e. a phenomenon that is obtained via the design of themultilayer structure and not via the individual material properties.

There is provided metamaterials comprising a plurality of structuralfeatures having sub-wavelength dimensions. In embodiments thesub-wavelength structural features are the meta-atoms (e.g.nanoparticles with a sub-wavelength diameter) and, in other embodiments,the structural features are the respective thicknesses of dielectriclayers in a Bragg reflector.

According to an embodiment, in which the filter comprises a filmcomprising metamaterial elements (or nanoparticles), the metamaterialelements (or nanoparticles) in the filter are arranged in unit cells,wherein each unit cell includes one nanoparticle and a surrounding hostmedium.

The metamaterial nanoparticles inside the unit cells—the structuralelements—are made from silver, gold and/or alumina, or any other metalthat supports plasmonic resonances in optical frequencies. They can havespherical, cubical, cylindrical, ellipsoidal, or rod-like shapes andnanoscale sizes, for example, between 1-50 nm. The host medium is aconventional low-loss dielectric with relative permittivity up to 5. Itserves as a supporting structure for the nanoparticles as well as beinga tunable parameter for the strength and frequency of the resonances.This means that by choosing the proper host material, with appropriatelyselected physical properties such as density, thickness, geometry, andso on, the optical properties of the whole filter can be controlledaccordingly.

Optionally, the filter may comprise both sub-wavelength thick dielectriclayers and layers of meta-atoms. That is, in another embodiment, thefilter comprises multiple layers of nanoparticle arrays, with eacharray/layer consisting of a different arrangement of nanoparticles. Forexample, each layer may have a different host medium, or differentlysized nanoparticles, or nanoparticles spaced at different distancesapart. In addition, some of the layers between the nanoparticle arraysmay be Bragg-type structures, i.e. alternating dielectric layers withoutany nanoparticles present. This is a fusion structure that offers thebandgap performance of the Bragg reflectors with the isotropic filteringresponse of nanoparticle absorption.

In order to construct a metamaterial structure comprising metaelements,the unit cells of metaelements are arranged in a layer in a periodicfashion in at least 2 dimensions, preferably in 3 dimensions (x,y,z).Each metamaterial layer can be much shorter in the third dimension (z)than in the first two dimensions (x,y). Layers with different respectiveelectromagnetic properties can be stacked on top of each other in thethird dimension to achieve multiband performance of the filter.Non-metamaterial layers can also be added at the top and/or bottom ofthe stacked Metamaterial layers to provide the system with adhesiveproperties, scratch resistance structural strength and/or temperatureisolation.

As mentioned above, the filter can be designed and manufactured tofilter out one or more selected narrow bands of laser wavelength. Thephysical properties of the structural elements of the metamaterial, suchas the size and shape of the nanoparticles and their surrounding mediumor the relative thicknesses and refractive indices of the layers, can beselected according to the desired filtration wavelengths for aparticular film. In particular, the metamaterial nanoparticles, orBragg-type layers, can be selected and tuned in order to provideparticular desired values of electric permittivity and magneticpermeability, which are the electromagnetic properties that willdetermine how the film treats electromagnetic radiation passingtherethrough.

FIG. 1 shows a possible implementation of a thin film filter 10,comprising metaelements, onto an aircraft cockpit. The filter 10comprises a protective layer 12, a metamaterial layer 14, and anadhesive layer 16 which is applied directly to the inside of the cockpitwindow 18. In this example the nanoparticles 22 are provided in an array20 of nanospheres 24 made from silver.

As can be seen in FIG. 1, the array 20 of nanoparticles 22 make up thelayer 14 within the filter 10. The layer 14 may be a singlemetamaterial, with the nanoparticles 22 within the array 20 arranged toblock out a single narrow band of electromagnetic frequencies, oralternatively the layer 14 can comprise several metamaterials stackedtogether, wherein each metamaterial blocks out a different respectiveband of electromagnetic frequencies.

The protective layer 12 is formed over the layer, to act as a barrierwhen the filter 10 is applied to the inside of a cockpit window, or toanother surface. The protective layer 12 may add to the structuralstrength of the filter 10 and/or may have anti-scratch properties tominimise damage to the filter 10 during use.

The adhesive layer 16 is provided on the other side of the layer 14, toenable it to be applied to a cockpit window or other surface. Theadhesive layer 16 and protective layer 12 should both be opticallytransparent, so as not to distort the transmission of electromagenticradiation through the filter.

FIG. 2a shows a unit cell comprising a nanoparticle 22 within themetamaterial layer 14 at a higher level of magnification. Thenanoparticle 22 comprises a metallic sphere 24 at its centre surroundedby a dielectric medium 26. FIGS. 2b to 2g show alternative shapes forthe metamaterial element at the centre of the unit cell. The shapechosen can depend on the required use for the filter, or on anyappropriate criteria as will be known to the skilled reader.

FIG. 3 shows a simulation of the electric field distribution on thesurface of the silver sphere 24, which is part of a periodic array 20 intwo dimensions shown in FIG. 1, for an incoming electromagnetic wavewith a frequency equal to the resonant frequency of the sphere 24, aftersteady state is reached. The wave propagates in-plane, i.e. along thesurface of the periodicity. For a single spherical metallic particlesuch as the one shown in FIG. 2a , the field amplitude A is found by:

$\begin{matrix}{{4{\pi\alpha}^{3}\frac{ɛ - ɛ_{m}}{ɛ + {2ɛ_{m}}}},} & (1)\end{matrix}$

where α is the sphere radius and ε_(m) is the relative permittivity ofthe host medium which can be assumed constant with frequency and to havea vlue higher than one, i.e. a conventional material permittivity.

The permittivity of a the sphere 24 is denoted as ε(ω) and is usuallynegative at optical frequencies. It strongly depends on the wavefrequency ω, typically having a Drude-type dependence. For a givenmaterial, ε(ω) is fixed and the location of the resonance in frequencycan be adjusted by tuning the background permittivity. In this example,the point at which the resonance, and hence maximum absorption, occursis the frequency ω₀ for which:

ε(ω₀)=−2ε_(m).  (2)

FIG. 4a shows how the imaginary part of the macroscopic permittivity ofthe array 20 of silver nanoparticles in FIG. 1 is shifted based on thebackground permittivity of the host medium 26.

FIG. 4b shows that the strength of the absorption of an electromagneticwave by the array 20 can be controlled by using nanospheres of aslightly different size. In this example, the doubling of the sphere 24diameter (D) increases absorption by approximately 40%.

The permittivity and permeability of a metamaterial layer or layers canbe extracted from the reflection and transmission coefficients of lightincident on the metamaterial. These can be evaluated eitherexperimentally or via simulations of the metamaterial layers. Assuming ametamaterial of thickness d, and that the incident light has awavevector k, the permittivity and permeability function are found fromthe equations:

$\begin{matrix}{{ɛ = \frac{n}{Z}}{\mu = {nZ}}} & (4) \\{{Z = {\pm \sqrt{\frac{\left( {1 + r} \right)^{2} - t^{\prime 2}}{\left( {1 - r} \right)^{2} - t^{\prime 2}}}}}{{{Re}\left\{ n \right\}} = {{{\pm {Re}}\left\{ \frac{\cos^{- 1}\left( {\frac{1}{2t^{\prime}}\left\lbrack {1 - \left( {r^{2} - t^{\prime 2}} \right)} \right\rbrack} \right)}{kd} \right\}} + \frac{2{\pi m}}{kd}}}} & (5) \\{{{Im}\left\{ n \right\}} = {{{Im}\left\{ \frac{\cos^{- 1}\left( {\frac{1}{2t^{\prime}}\left\lbrack {1 - \left( {r^{2} - t^{\prime 2}} \right)} \right\rbrack} \right)}{kd} \right\}} + \frac{2{\pi m}}{kd}}} & (6)\end{matrix}$

Herein is the effective index of refraction, Z the impedance of themetamaterial, m an integer that depends on the thickness of themetamaterial, r the reflection coefficient, and

t′=t·e ^(ikd)  (7)

the normalized reflection coefficient. “Re” indicates the real part ofthe effective index and “Im” indicates the imaginary part.

FIGS. 5a to 5d show examples of a metamaterial-based filter 50consisting of spherical nanoparticles. The nanoparticles areperiodically arranged in a 2-dimensional plane on a rectangular orsquare lattice. Different layers of nanoparticles are then stackedtogether along the propagation direction of the laser (i.e. the ‘z’direction). Each layer 52 may include a different background host mediumthat has a different respective permittivity. Each layer here showsabout 200 particles, and this is potentially only a small section of thetotal surface of the filter 50 which normally would extend much longeralong each direction. In addition, the nanoparticles can have adifferent shape other than spherical. Some examples of possiblenanoparticle shapes are shown in FIGS. 2a to 2 g.

According to another embodiment an optical filter is provided in theform of a film comprising stacked layers of photonic crystals.

Photonic crystals can be considered as a special case of metamaterials.They are periodic arrangements of optical nanostructures, typicallyconsisting of dielectric or metallo-dielectric materials, for example inthe form of rods, and a surrounding medium. The photonic crystal unitcells are usually of the same size or slightly smaller than thewavelength of electromagnetic radiation they operate at. While somephotonic crystals have been found in nature, they have been studiedextensively since the 1980s when it became possible to fabricate themexperimentally.

The photonic crystal filter operates by controlling the band gaps thatarise from the periodicity of the lattice that is formed when the unitcell is repeated periodically. The exact frequencies of absorption aretuned by adjusting the period of the lattice and the cross-sectionalsize of the rods. The bandwidth of the absorption at the frequencies ofinterest is tuned by the index contrast, i.e. the ratio between therefractive index of the rods and the refractive index of the surroundingmedium. The strength of the absorption is controlled by increasing thethickness of the photonic crystal lattice, in the third (z) dimension.

The unit cell for each layer of photonic crystals in the filter issquare or hexagonal (honeycomb) and consists of a central dielectric rodsurrounded by air. The rod can have a square, cylindrical, or othercross section. The rod has a typical relative permittivity ofapproximately 10 (e.g. achieved using GaAs material) and a typicalradius of around 0.2*α, where α is the period of the layer. The unitcell is thus repeated periodically in 2 dimensions (perpendicular to theaxis of the rods) with period α. In the third dimension, multipleidentical layers can be stacked or different layers can be stacked toachieve absorption for multiple frequencies and for multiplepolarisations.

As mentioned above, according to another embodiment afilter comprising afilm is provided. The film comprises a stratified medium that can befabricated for example via spin coating of polymer materials, toassemble a Bragg structure such a Bragg reflector or Bragg mirror. Itconsists of periodically alternating layers of two or more materialswith sub-wavelength thickness, such as nanometer-scale thickness foroptical wavelengths. Each layer of the film causes a partial reflectionof an incoming electromagnetic wave of a certain frequency. When theoptical thickness of the mirror is at least five times longer than thewavelength of an incoming electromagnetic wave of a particularfrequency, constructive interference occurs and a narrow range ofwavelengths around the incoming frequency is reflected.

FIG. 6 shows the light ray paths of incident light onto a Bragg mirror60.

The Bragg Mirror 60 made from a multi-layer system composed of layerswith respective refractive indices n₁ and n₂. The refractive indices arealternated in layers in the z dimension of the three dimensional film.The structure is periodic along the axis with a period “p” as shown inFIG. 6. This period is also known as the “pitch” of the film. The filmstructure acts as a reflector at a single frequency with a finitebandwidth. The values of the refractive indices n₁ and n₂ are around1.5. Their contrast (or ratio) controls the bandwidth of the reflectionprovided by the film. Typical index contrast is 1.7/1.5 which yields abandwidth of ˜2-5%. The magnitude of the reflectivity is controlled bythe total length of the structure, in the direction of the propagatinglaser radiation, while the pitch and the absolute values of the indicescontrol the exact frequencies of interest. By stacking multiple sets ofBragg mirrors, multiband operation can be achieved.

The reflectivity R of the Bragg Mirror 60 is given approximately by theequation

$\begin{matrix}{{R = \left\lbrack \frac{{n_{o}\left( n_{2} \right)}^{2N} - {n_{s}\left( n_{1} \right)}^{2N}}{{n_{o}\left( n_{2} \right)}^{2N} + {n_{s}\left( n_{1} \right)}^{2N}} \right\rbrack},} & (8)\end{matrix}$

Here n₁ and n₂ are the refractive indices of two alternating materialswithin the Bragg mirror 60, while n_(o) and n_(s) are the refractiveindices of the originating medium and the terminating mediumrespectively. If the film is applied to the inside of a transparentglass surface as shown in FIG. 6, the originating medium will be glassand the terminating medium will be air. N is the number of periodiclayers comprising the mirror 60.

The bandwidth Δλ of the Bragg Mirror 60 is given by

$\begin{matrix}{{{\Delta\lambda}_{0} = {\frac{4\lambda_{o}}{\pi}{\arcsin \left( \frac{n_{2} - n_{1}}{n_{2} + n_{1}} \right)}}},} & (9)\end{matrix}$

Here λ₀ is the central wavelength of the reflected radiation and n₁ andn₂ are the alternating refractive indices of the Bragg layers as before.In order to increase the reflectivity of the Bragg Mirror 60 the numberof layers can be increased, while the bandwidth of operation can be madenarrower by decreasing the index contrast.

An example of the reflectivity of the Bragg Mirror 60 as a function ofwavelength for various refractive index contrasts is shown in FIG. 7.Here the index of the first layer of each pair is constant at 1.50, andthe index of the second layer of each successive pair is varied.

In an advantageous embodiment, a filter is provide to filter lightomnidirectionally, i.e. over a wide range of angles. This is a seriouslimitation of conventional Bragg mirrors which operate over a verynarrrow range of angles. In embodiments, this is achieved by combiningtwo or more metamaterials. For example: a first metamaterial may reflecta first wavelength of radiation received at a first angle; a secondmetamaterial may reflect the first wavelength received at a secondangle; and a third metamaterial may reflect the first wavelengthreceived at a third angle. By combining three such metamaterials, apseudo broad-angle filter is provided for incident radiation at thefirst wavelength.

In a further embodiment, the metamaterial is designed to beomnidirectonal and/or block multiple wavelengths of light. In anexample, target wavelengths green (532 nm), blue (445 nm), and red (635nm) require a bandgap in the order of 5-10 nm around each wavelength inorder to preserve the overall transparency of the filters. However, thefilters can be tuned to operate on other wavelength as well, byadjusting the thickness and refractive indexes of the layers. Themulti-wavelength and/or multi-angle operation of the structure isachieved by specifically designing the structure, such as a photoniccrystal mirror structure, to consist of multiple sub-mirrors, eachmirror operating for a specific wavelength range and a specific range ofangles (typically +/−30 degrees). That is, in an example, there isprovided three sub-mirrors for each wavelength in order to cover allangles of incidence, which will be stacked together for omnidirectionalperformance. In embodiments, high index materials such as MoO₃ and TiO₂are used since the omnidirectional performance is enhanced withincreased index. In yet further embodiments, further layers are addedafter these multiple stacked layers in order to enhance the transmissionof light outside the multiple bandgaps. For example, a three (or more)layer anti-reflection coating may be added to optimize transmission.

Accordingly, there is provided a filter comprising a first metamaterialarranged to provide first filtering and a second metamaterial arrangedto provide second filtering. The first/second filtering may bewavelength-dependent filtering and/or angle of incidence dependentfiltering. By overlapping the performance of metamaterials, pseudoomnidirectional filtering may be provided. Equally, multiband filteringmay be provided.

According to another embodiment, an optical filter comprises a filmwhich utilizes cholesteric liquid crystals. Liquid crystals are a stateof matter between a liquid and a crystal. The molecules in liquidcrystals can flow slowly, as in a liquid, but at the same time theymaintain a preferable orientation, as in a crystal. Liquid crystals areroutinely used in displays and monitors, as they can be electricallycontrolled to block or transmit a certain polarization of light.

Liquid crystals are inherently anisotropic and can be described by theorientation of their director field, i.e. the preferred axis along whichthe elongated molecules 80 of a liquid crystal are oriented on average,as shown in FIG. 8. The axis orientation is usually defined through the“director” n, a dimensionless unit vector.

Of specific interest here are the cholesteric liquid crystals, i.e.liquid crystals for which the director field (their molecule axisorientation) rotates as a function of space in one dimension.

If that dimension is along the z-axis, the director n is a function ofz, i.e. n=n(z). Therefore the liquid crystals form a helical structure.The pitch of the helical structure for each liquid crystal is determinedby the distance between the start and end points of the crystal alongsaid dimension when it rotates 360 degrees.

FIGS. 9a and 9b show an example of a cholesteric liquid crystal whichhas rotated 180 degrees. Therefore the difference between the start andend positions of the crystal in FIGS. 9a and 9b is the half pitch of thecrystal. For an optical filter which filters out one or more narrowbands of laser light, the typical pitch (p) of the helical structureshould be between 100 and 1000 nanometers (nm).

The exact director orientation for a crystal with respect to thelaboratory frame can be determined through rotating the director by anangle

$\begin{matrix}{{\phi = \frac{2{\pi z}}{p}},} & (10)\end{matrix}$

which varies as function of the propagating distance z of theelectromagnetic wave. If the permittivity tensor at the origin of theliquid crystal has the form

$\begin{matrix}{ɛ = \begin{pmatrix}n_{e}^{2} & 0 & 0 \\0 & n_{o}^{2} & 0 \\0 & 0 & n_{o}^{2}\end{pmatrix}} & (11)\end{matrix}$

Then the permittivity after the wave has propagated a distance z alongthe crystal is

$\begin{matrix}{{{ɛ(z)} = \begin{pmatrix}{\overset{\_}{ɛ} + {{\Delta ɛcos}\left( \frac{4{\pi z}}{p} \right)}} & {{\Delta ɛsin}\left( \frac{4{\pi z}}{p} \right)} & 0 \\{{\Delta ɛsin}\left( \frac{4{\pi z}}{p} \right)} & {\overset{\_}{ɛ} - {{\Delta ɛcos}\left( \frac{4{\pi z}}{p} \right)}} & 0 \\0 & 0 & n_{o}^{2}\end{pmatrix}}{{Here}\mspace{14mu} \overset{\_}{ɛ}} = {{\frac{n_{o}^{2} + n_{e}^{2}}{2}\mspace{14mu} {and}\mspace{14mu} {\Delta ɛ}} = \frac{n_{e}^{2} - n_{o}^{2}}{2}}} & (12)\end{matrix}$

In FIGS. 9a and 9b the director is rotating inside the x-y plane whilethe crystal evolves (and so has a pitch) in the z direction.

FIG. 9a shows a cholesteric liquid crystal structure. The liquidcrystals (depicted as dark coloured ellipsoidal elements) rotate aroundthe (z) axis of propagation which coincides with the axis of the helix.In FIG. 9b , white light illumination of multiple wavelengths is shownincident on the structure along its rotation axis (depicted z-axis). Inthis example the green light is filtered out whilst other lightwavelengths are allowed through the crystal structure.

In order to form an optical filter from cholesteric liquid crystals, thehelical structure is repeated several times (˜5-10 or more) along theaxis of the helix, which also coincides with the main directionpropagation of the laser, in FIG. 9b . Polarized fields ofelectromagnetic radiation impinging on the structure will be reflectedat a specific frequency depending on the value of the pitch. Thestrength of the reflection is controlled by the number of times thepitch is repeated (the total length of the helix). By stacking multiplelayers of liquid crystals with different pitches together, multiplefrequencies and multiple polarizations can be reflected, as shown in theFIG. 10, wherein two different layers, each with reflectively (R) ofaround 1, are shown to reflect electromagnetic radiation at twodifferent respective frequencies.

Therefore in each of the embodiments described above a film is providedwhich can comprise multiple stacked layers of material elements such asunit cells or crystals, wherein the shape, composition or arrangement ofthose material elements can be deliberately designed to alter thebehaviour of the film in order to filter out certain chosen wavelengthsof electromagnetic radiation such as laser light but to allow otherwavelengths through the film without any distortion. The filter cancomprise nanoparticles, a Bragg reflector, and/or liquid crystals.Multiple metamaterial layers having different respective filteringcapabilities can be stacked together to form a film, therefore allowingmore than one band of wavelengths to be filtered out by the film oromnidirectional filtering to be achieved. Alternatively the filter couldcontain multiple metamaterials which each have the same electromagneticproperties such that the film is designed only to filter out one band ofwavelengths.

In each embodiment described above the filter is provided as a result ofengineering materials at the nanoscale. As the skilled reader will know,the wavelength of visible light is around 500 nm. In order to provide alight-manipulating material that can filter out certain chosenfrequencies of laser or other light or electromagnetic radiation,structural elements, such as material elements, smaller than (or, atmost, the same size as) the wavelength of the radiation should beprovided. In the solution provided herein those material elements arepreferably of the order of 1 to 100 nm in size.

Multiple metamaterials formed from the above described structuralelements can be stacked or otherwise combined together in a number ofdifferent ways. For example physical vapour deposition, sputterdeposition, polymer implantation, chemical vapour deposition or spincoating of layers may be used. The spin coating method, as an example,consists of four different stages. First, the material (e.g. thepolymer) is poured on a flat surface or substrate through a nozzle.Second, the surface starts rotating fast, accelerating to a final speed.Third, while the surface is rotating, the material is spread evenlyacross the surface area, dominated by centrifugal and viscous forces.Finally, a solvent is applied on top of the spinning material, in orderto adjust is thickness down to the required value. The process isrepeated for each layer of the filter.

In an embodiment, a metamaterial is fabricated by a sol-gel process.That is, another method to fabricate a Bragg-based metamaterial issol-gel. Sol-gel is an elegant, low cost, and powerful approach whichoffers innovative strategies to tailor nanostructured films withcontrollable properties including size distribution, morphology,porosity, shape, and surface area. It is a chemical method that alsoprovides an alternative route to the synthesis of multi component oxidematerials with different compositions and where the distribution ofheterometal bonds is highly homogeneous. Sol-gel is a unique technologythat allows the choice of thickness and refractive index of the thinfilm layer by simply changing synthetic conditions including thechemical composition of the precursors, the addition of additives, theconcentrations, the dip coating angle and speed, etc. Sol-gel technologyallows the fabrication of thin film coatings on various substrates withdifferent sizes and shapes. To create our device, which typicallyconsists of alternating layers of two different materials (withdifferent refractive indexes), two mixtures are prepared that have thecorresponding refractive indexes necessary for light blocking based onthe Bragg design. Then, a layer of one of the two mixtures is depositedon a substrate (which may be a transparent flexible substrate), then itis dried or baked until is solidifies. Subsequently, the second layer isdeposited and then dried until it solidifies. The procedure repeatsuntil the necessary number of layers is reached, which may be more than100. At the end of the process further layers (using new mixtures withdifferent refractive indexes than the original two) may be added, inorder to provide scratch protection and/or anti-reflection coatings tooptimize transmission.

Another method for fabricating the filter is nanoparticle self-assembly.Self-assembly is a “bottom-up” approach where the nanoparticles aresimply placed on a specially prepared surface and automatically arrangethemselves based on the electrochemical interactions between theparticles and the surface. This method has the advantage that it can bemuch simpler and quicker than placing nanoparticles in the film bymanipulating them individually. The preparation of the surface forself-assembly can be achieved using a variety of techniques, such asdip-pen lithography, laser lithography, electron beam lithography, andchemical lithography.

By combining multiple differently-tuned thin metamaterials together,protection from lasers at multiple different wavelengths of light can besimultaneously achieved using the same filter. Furthermore, thefiltration can be extended to other laser frequencies beyond the visiblespectrum such as ultraviolet lasers. As mentioned above, the filteroperates passively and there is no intervention from the user requiredin order to select which frequency or frequencies of radiation are to befiltered out at any given time. Instead, the filter will immediatelyreact to incoming electromagnetic radiation by filtering out anycomponents of that radiation that are within one or more of the bands ofwavelength that the filter has been predesigned to attenuate. It willallow any other components within the radiation, which are not withinthose bands of wavelengths, to pass through the film without beingchanged or distorted in terms of frequency, wavelength, angle or anyother property.

However, the inventors have found that simple combining, such asstacking, of independently-designed metamaterials, such as Braggreflectors, does not give rise to optimal multiband or multi-angleperformance. That is, the performance of a combined metamaterial devicedoes not merely amount to the sum of the parts. More specifically, theinventors have found that the overall filtering efficiency is reduced bycombining metamaterials because the layers of one metamaterial affectthe electromagnetic behaviour of the other metamaterial or metamaterialsin the combination. Accordingly, in embodiments, there is provided amethod of forming an improved filter comprising a plurality ofmetamaterials, the method comprising altering the sub-wavelengthproperties of the respective metamaterials to provide improved multibandperformance. Likewise, in embodiments, there is provided a method offorming an improved filter comprising a plurality of metamaterials, themethod comprising altering the sub-wavelength properties of therespective metamaterials to provide improved multi-angle performance.There is therefore provided an improved angle-invariant, oromnidirectional, filter. The method may result in deterioration of thesingle-band or single-angle performance of each metamaterial when usedalone. Such multiband/multi-angle optimisation may be achievedexperimentally or theoretically by monitoring the optical properties ofthe combined device at, for example, multiple wavelengths and/ormultiple angles of incidence whilst adjusting the sub-wavelengthparameters of the metamaterials. For example, optimisation may beachieved using an optimisation algorithm. Accordingly, a firstmetamaterial may predominately provide first filtering characteristics,and a second metamaterial may predominantly provide second filteringcharacteristics, and the method comprises changing the sub-wavelengthproperties of the first metamaterial in view of the first and secondfiltering characteristics, not just the first filtering characteristics.The inventors have found that using this approach, a yet furtherimproved multiband and/or multi-angle filter may be provided.

The filter can provide filtration of radiation from lasers up to andincluding Class 3B lasers, which have rated powers up to 500 milliWatts.It also provides protection for many Class 4 lasers with rated powers upto 2 Watts and could be used to protect from stronger lasers in future.As indicated in the background section above, a one Watt laser is thehighest power commonly available laser currently however this couldchange over time and the filter as described herein is equipped toaccommodate such changes.

The filter can attenuate laser light or other electromagnetic radiationwhich is shone directly at the filter and it can also filter outspecular reflections. This is important as even specular reflections cancause immediate severe eye damage to one or more parts of the eyeincluding the cornea, the iris, the lens or even the retina. Lasers canalso cause distraction, glare or temporary flash blindness, all of whichare uncomfortable and are potentially very dangerous if the personaffected is operating a vehicle, aircraft or piece of machinery at thetime, even if the eye damage is not permanent. The filter describedherein acts to eliminate the safety hazard posed by lasers and theirpotential damage to the eyes and skin of individuals.

As an example, a 5 mW green laser pointer seen from 3,000 feet awaycorresponds to an intensity of 0.5 μW/cm̂2 causing significantdistraction. The same intensity is achieved from a 300 mW laser as seenfrom 16,000 feet away. An intensity level of 50 μW/cm̂2 can temporarilyblind a person, while laser intensities on the order of 1 mW/cm̂2 or morehave severe physical effects. These effects occur even when the laserbeam travels through thin air, which refracts light less, such that thelaser beam cannot be seen by the human eye.

Laser beam sizes can diverge, and unsteady hands holding a laser canturn a pointer laser beam into a camera-like flash when viewed from adistance.

The wavelengths for which such phenomena are stronger are theultraviolet (200-390 nm), the visible (390-750 nm) and the infrared (750nm-1 mm). Lasers exist for all these sections of the electromagneticspectrum, such as the He—Ne (Helium-Neon) at 632.8 nm, the Nd:Yag(Neodymium-doped yttrium aluminium garnet) at 946 nm, or the thirdharmonic of titanium-sapphire between 235-330 nm. Of particularrelevance to the filter described herein are lasers that emit radiationin the visible part of the spectrum because that is the spectrum wherethe human eyes are most sensitive, and where most readily availableinexpensive lasers on the market operate. For example, one of the mostcommonly used lasers is the frequency-doubled Nd:YAG at 532 nm (greenlaser), which is near the peak of the human photopic sensitivity.

The filter described herein can be specifically tuned to filter out thewavelengths at which the most commonly used laser products are known tooperate. Due to the sensitivity of the nanoparticle structure, and theaccuracy to which the particles can be tuned, the filter can compriseextremely narrow band elements which selectively block specificwavelengths of light without affecting other frequencies, resulting inup to almost complete transparency for the user behind the filter.Regardless of the physical form in which the filter is provided, it doesnot have to be tinted or coloured and so its presence leads to minimaldistortion of the user's vision (<10%).

Although a film has been described hereabove, the filter can be providedin a plurality of different physical forms whilst still being composedof one or more layers of nanoparticle structure as described in detailherein. The filter can applied to flat or curved windows in buildings orlaser equipped facilities, or to any of: transparent acrylic boxes usedfor protection from laser light, goggles, eye shields, contact lenses,protective gloves, vehicle windows, windscreens and aircraft cockpits.As well as or instead of being a safety device, the filter could be usedfor aesthetic or entertainment purposes to deliberately filter outspecific components of light from walls, displays or pictures. Suchfiltration could be controlled by a user for instantly viewable results.

Although the filter has been described hereabove as being passive, if itwas sufficiently small in size it could be electronically controlledwhilst still having only low energy consumption requirements. Byimposing static low energy electric fields, the nanoparticles can havedifferent properties and the filtering action can be tuned and detunedon demand. A field can be applied using transparent conducting films(made from organic or inorganic materials, such as silver oxide, carbonnanotubes or graphene) and an external battery source. This is useful insituations for which it might be desired not to block any light at all,during certain periods of time. Furthermore, the system can be tunedahead of time to operate at different wavelengths of light other thanthe visible, such as infrared and ultraviolet. Multiband operation couldalso be achieved over those spectral regions.

Although particular embodiments and aspects have been described above,variations can be made without departing from the inventive conceptsdisclosed herein. The filter can block out any one or more wavelengthsor narrow bands of wavelengths in the EM spectrum. The filter cancomprise any appropriate number of layers. The filter and/or anindividual layer within the filter may comprise a combination ofdifferent types of material elements. It may comprise an adhesive orother means for attachment to a surface. The material elements or unitcells within the filter layers can be solid or include a cavity orperforation, which may include an air bubble.

The filter is entirely scalable so can be manufactured to fit any sizeand shape of surface. It may be applied to some or all of a surface. Itmay be replaced over time with a different filter if the filtrationrequirements for a surface change. And it may be tuned before use by theselection and arrangement of appropriate material elements in one ormore layers to provide filtration at any desired wavelength orwavelengths.

Therefore an efficient and highly useful solution is provided. It can bemanufactured relatively cost-effectively and can be used in manydifferent practical situations. It enhances user safety, protectingagainst laser damage, and can also provide filtration andelectromagnetic concealment for a wide range of applications.

There is provided a filter for filtering electromagnetic radiation,wherein said filter is arranged to transmit electromagnetic radiation ofa first predetermined wavelength and to block transmission ofelectromagnetic radiation of a second, different predeterminedwavelength; said filter comprising a first layer formed of a pluralityof material elements, wherein each material element is at leastone-dimensional and the size of the material element along eachdimension is no greater than the size of the second predeterminedwavelength.

The second predetermined wavelength may be in the visible part of theelectromagnetic spectrum. The filter may further comprises an adhesivelayer. A size of the material element along each dimension may be lessthan the size of the second predetermined wavelength. The materialelements may be nanoscale elements. Each material element may have asize along each dimension of between 1 nanometre (nm) and 100 nanometres(nm).

The filter may be arranged to be optically transparent toelectromagnetic radiation of all wavelengths except the wavelength orwavelengths which it is specifically arranged to block transmission of.The filter may be substantially transparent to the human eye.

1-39. (canceled)
 40. A method of fabricating a filter for filteringultraviolet to infrared electromagnetic radiation, said filtercombining: a first metamaterial having sub-wavelength properties andarranged to provide first filtering of electromagnetic radiationincident at a first angle in a first range of angles; and a secondmetamaterial having sub-wavelength properties and arranged to providesecond filtering of electromagnetic radiation at a second angle in asecond range of angles, wherein the first and second angles aredifferent and the first and second ranges of angles partially overlapand wherein the first metamaterial and second metamaterial areconfigured as stacked layers of the filter, wherein the first filteringcomprises blocking electromagnetic radiation at a first frequencybandwidth about a first wavelength and the second filtering comprisesblocking electromagnetic radiation at a second frequency bandwidth aboutthe first wavelength, wherein the second frequency bandwidth issubstantially similar to the first frequency bandwidth and wherein thefirst and second frequency bandwidths are within the ultraviolet toinfrared spectrum, while each of the first and second metamaterialstransmit ultraviolet to infrared electromagnetic radiation that is notin the first or second frequency bandwidth about the first wavelength;wherein the filter is comprised in a film; and wherein the firstmetamaterial is a Bragg reflector or a photonic crystal and the secondmetamaterial is a Bragg reflector or a photonic crystal, the methodcomprising: selecting the size, shape, material or configuration of thestructural features of the first and/or second metamaterial to providethe correct material properties to achieve said blocking of ultravioletto infrared electromagnetic radiation, wherein the selecting comprisesoptimising the filter, to improve multi-angle performance, by monitoringoptical properties of the combined filter at multiple angles ofincidence whilst adjusting the sub-wavelength properties of the firstand second metamaterials.
 41. A method as claimed in claim 40 whereinthe filter is comprised in or on a windscreen.
 42. A method as claimedclaim 40 wherein the filter is comprised in or on an aircraft cockpit.43. A method as claimed in claim 40 wherein the filter is passive.
 44. Amethod as claimed in claim 40 wherein the filter appears substantiallytransparent to the human eye.
 45. A method as claimed in claim 40wherein the first bandwidth and the second bandwidth are 5-10 nm.
 46. Afilter for filtering electromagnetic radiation, said filter comprising afirst metamaterial arranged to provide first filtering ofelectromagnetic radiation and a second metamaterial arranged to providesecond filtering of electromagnetic radiation, wherein the firstfiltering comprises transmitting electromagnetic radiation at a firstwavelength and blocking electromagnetic radiation at a secondwavelength.
 47. A filter as claimed in claim 46, wherein the firstmetamaterial comprises a plurality of structural features having a sizein one dimension no greater than the second wavelength of theelectromagnetic radiation.
 48. A filter as claimed in claim 47, whereinthe first and/or the second metamaterial comprises a plurality ofdielectric layers and the structural features are the respectivethicknesses of the dielectric layers.
 49. A filter as claimed in claim47, wherein the first and/or the second metamaterial comprises an arrayof material elements and the structural features are the materialelements.